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Finding the Fourth Proportional to 8,546.54, 12,798.03 and 7,234.34

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Solution

The fourth proportional to 8,546.54, 12,798.03 and 7,234.34 is: 10,833.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.54 : 12,798.03 = 7,234.34 : x
  2. Step 2: Convert to fraction form
    8,546.54/12,798.03 = 7,234.34/x
  3. Step 3: Cross multiply
    8,546.54x = 12,798.03 × 7,234.34
  4. Step 4: Simplify right side
    8,546.54x = 92,585,300.35
  5. Step 5: Solve for x
    x = 92,585,300.35/8,546.54
  6. Step 6: Final answer
    x = 10,833.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.